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The equation of line q q is y=16x−5 y = 16x - 5 . Line r r , which is parallel to line q q , includes the point (6,2)(6, 2). What is the equation of line r r ? Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.

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Q. The equation of line q q is y=16x−5 y = 16x - 5 . Line r r , which is parallel to line q q , includes the point (6,2)(6, 2). What is the equation of line r r ? Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.
  1. Parallel Lines Slope: Line rr is parallel to line qq. Parallel lines have the same slope. Slope of line qq: 16\frac{1}{6} Slope of line rr: 16\frac{1}{6}
  2. Finding Y-Intercept: For line rr:
    Slope (m)(m): 16\frac{1}{6}
    Point: (6,2)(6, 2)
    Plug these values into y=mx+by = mx + b to find the yy-intercept.
    2=16(6)+b2 = \frac{1}{6}(6) + b
    2=1+b2 = 1 + b
    b=1b = 1
  3. Equation of Line r: For line rr: Slope (m):16(m): \frac{1}{6} yy-intercept (b):1(b): 1 Substitute 16\frac{1}{6} for mm and 11 for bb in y=mx+by = mx + b. y=16x+1y = \frac{1}{6}x + 1

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